82017792 has 160 divisors (see below), whose sum is σ = 257796000. Its totient is φ = 25657344.

The previous prime is 82017787. The next prime is 82017799. The reversal of 82017792 is 29771028.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82017799) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 234834 + ... + 235182.

It is an arithmetic number, because the mean of its divisors is an integer number (1611225).

Almost surely, 2^82017792 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82017792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128898000).

82017792 is an abundant number, since it is smaller than the sum of its proper divisors (175778208).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

82017792 is a wasteful number, since it uses less digits than its factorization.

82017792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 393 (or 371 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 36.

The square root of 82017792 is about 9056.3674837100. The cubic root of 82017792 is about 434.4795678552.

The spelling of 82017792 in words is "eighty-two million, seventeen thousand, seven hundred ninety-two".